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Study of a multilevel d.c.p.s.k. system leads to the consideration of pairs of adjacent symbol vectors which depend on instantaneous levels. An analytic evaluation is made of symbol error probability for a general pair of such vectors in the presence of Gaussian noise.
The bit error probability associated with the individual binary symbols is discussed for Gray-coded m.p.s.k. signals for large s.n.r.s. All Gray codes with uniform as well as with the most nonuniform bit error probability distribution are given for 16-phase signals; 8-phase signals and 32-phase signals are also considered.
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